Workbook Detail
Math Maze Multiplication Small Hard — Set 93
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"subject": "arithmetic",
"difficulty": "hard",
"config": {
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"problems": [
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 6. Follow the path: +9 → -8 → +7 → -7 → ×2. What is the final value?",
"answer": "14",
"startValue": 6,
"steps": [
{
"op": "+",
"operand": 9,
"result": 15
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{
"op": "-",
"operand": 8,
"result": 7
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{
"op": "+",
"operand": 7,
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{
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"operand": 7,
"result": 7
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{
"op": "×",
"operand": 2,
"result": 14
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"finalValue": 14,
"pathDescription": "Step 1: +9 = 15; Step 2: -8 = 7; Step 3: +7 = 14; Step 4: -7 = 7; Step 5: ×2 = 14"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 5. Follow the path: ×2 → -9 → ×3 → -1 → ×4. What is the final value?",
"answer": "8",
"startValue": 5,
"steps": [
{
"op": "×",
"operand": 2,
"result": 10
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{
"op": "-",
"operand": 9,
"result": 1
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{
"op": "×",
"operand": 3,
"result": 3
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{
"op": "-",
"operand": 1,
"result": 2
},
{
"op": "×",
"operand": 4,
"result": 8
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],
"finalValue": 8,
"pathDescription": "Step 1: ×2 = 10; Step 2: -9 = 1; Step 3: ×3 = 3; Step 4: -1 = 2; Step 5: ×4 = 8"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: ×2 → +6 → ×4 → +7 → ×2. What is the final value?",
"answer": "222",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 2,
"result": 20
},
{
"op": "+",
"operand": 6,
"result": 26
},
{
"op": "×",
"operand": 4,
"result": 104
},
{
"op": "+",
"operand": 7,
"result": 111
},
{
"op": "×",
"operand": 2,
"result": 222
}
],
"finalValue": 222,
"pathDescription": "Step 1: ×2 = 20; Step 2: +6 = 26; Step 3: ×4 = 104; Step 4: +7 = 111; Step 5: ×2 = 222"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 8. Follow the path: -4 → +3 → +2 → ×3 → -7. What is the final value?",
"answer": "20",
"startValue": 8,
"steps": [
{
"op": "-",
"operand": 4,
"result": 4
},
{
"op": "+",
"operand": 3,
"result": 7
},
{
"op": "+",
"operand": 2,
"result": 9
},
{
"op": "×",
"operand": 3,
"result": 27
},
{
"op": "-",
"operand": 7,
"result": 20
}
],
"finalValue": 20,
"pathDescription": "Step 1: -4 = 4; Step 2: +3 = 7; Step 3: +2 = 9; Step 4: ×3 = 27; Step 5: -7 = 20"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: ×3 → +5 → -20 → +5 → +3. What is the final value?",
"answer": "23",
"startValue": 10,
"steps": [
{
"op": "×",
"operand": 3,
"result": 30
},
{
"op": "+",
"operand": 5,
"result": 35
},
{
"op": "-",
"operand": 20,
"result": 15
},
{
"op": "+",
"operand": 5,
"result": 20
},
{
"op": "+",
"operand": 3,
"result": 23
}
],
"finalValue": 23,
"pathDescription": "Step 1: ×3 = 30; Step 2: +5 = 35; Step 3: -20 = 15; Step 4: +5 = 20; Step 5: +3 = 23"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: -1 → -6 → -1 → -1 → -1. What is the final value?",
"answer": "0",
"startValue": 10,
"steps": [
{
"op": "-",
"operand": 1,
"result": 9
},
{
"op": "-",
"operand": 6,
"result": 3
},
{
"op": "-",
"operand": 1,
"result": 2
},
{
"op": "-",
"operand": 1,
"result": 1
},
{
"op": "-",
"operand": 1,
"result": 0
}
],
"finalValue": 0,
"pathDescription": "Step 1: -1 = 9; Step 2: -6 = 3; Step 3: -1 = 2; Step 4: -1 = 1; Step 5: -1 = 0"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 10. Follow the path: +5 → -9 → +9 → -12 → +9. What is the final value?",
"answer": "12",
"startValue": 10,
"steps": [
{
"op": "+",
"operand": 5,
"result": 15
},
{
"op": "-",
"operand": 9,
"result": 6
},
{
"op": "+",
"operand": 9,
"result": 15
},
{
"op": "-",
"operand": 12,
"result": 3
},
{
"op": "+",
"operand": 9,
"result": 12
}
],
"finalValue": 12,
"pathDescription": "Step 1: +5 = 15; Step 2: -9 = 6; Step 3: +9 = 15; Step 4: -12 = 3; Step 5: +9 = 12"
},
{
"type": "math-maze",
"subType": "math-maze",
"difficulty": "hard",
"question": "Math Maze: Start at 9. Follow the path: +3 → ×2 → ×4 → +9 → ×3. What is the final value?",
"answer": "315",
"startValue": 9,
"steps": [
{
"op": "+",
"operand": 3,
"result": 12
},
{
"op": "×",
"operand": 2,
"result": 24
},
{
"op": "×",
"operand": 4,
"result": 96
},
{
"op": "+",
"operand": 9,
"result": 105
},
{
"op": "×",
"operand": 3,
"result": 315
}
],
"finalValue": 315,
"pathDescription": "Step 1: +3 = 12; Step 2: ×2 = 24; Step 3: ×4 = 96; Step 4: +9 = 105; Step 5: ×3 = 315"
}
],
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"_archetype": "form-exercise",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Math Maze: Start at 6. Follow the path: +9 → -8 → +7 → -7 → ×2. What is the final value?
- Math Maze: Start at 5. Follow the path: ×2 → -9 → ×3 → -1 → ×4. What is the final value?
- Math Maze: Start at 10. Follow the path: ×2 → +6 → ×4 → +7 → ×2. What is the final value?
- Math Maze: Start at 8. Follow the path: -4 → +3 → +2 → ×3 → -7. What is the final value?
- Math Maze: Start at 10. Follow the path: ×3 → +5 → -20 → +5 → +3. What is the final value?
- Math Maze: Start at 10. Follow the path: -1 → -6 → -1 → -1 → -1. What is the final value?
- Math Maze: Start at 10. Follow the path: +5 → -9 → +9 → -12 → +9. What is the final value?
- Math Maze: Start at 9. Follow the path: +3 → ×2 → ×4 → +9 → ×3. What is the final value?
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